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vang0001 Nov 27th, 2015 76 Never
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  1. Fri Oct  2 12:47:42 2015  
  2. Fri Oct  2 12:47:42 2015  Msieve v. 1.53 (SVN unknown)
  3. Fri Oct  2 12:47:42 2015  random seeds: c5e57e10 bfb8fe75
  4. Fri Oct  2 12:47:42 2015  factoring 398220076342877083410192123329749440758351630436789292868881932670361221644051451799844617572049679161062349753245258129710655793910358390522061155662621520541671884691943668021718527748007962329561851667690484701685609825229706681 (231 digits)
  5. Fri Oct  2 12:47:43 2015  searching for 15-digit factors
  6. Fri Oct  2 12:47:45 2015  commencing number field sieve (231-digit input)
  7. Fri Oct  2 12:47:45 2015  R0: -41144777789250865278081232758997200423491
  8. Fri Oct  2 12:47:45 2015  R1: 302231454903657293676544
  9. Fri Oct  2 12:47:45 2015  A0: 16
  10. Fri Oct  2 12:47:45 2015  A1: 0
  11. Fri Oct  2 12:47:45 2015  A2: 0
  12. Fri Oct  2 12:47:45 2015  A3: 0
  13. Fri Oct  2 12:47:45 2015  A4: 0
  14. Fri Oct  2 12:47:45 2015  A5: 0
  15. Fri Oct  2 12:47:45 2015  A6: 121
  16. Fri Oct  2 12:47:45 2015  skew 0.71, size 2.631e-12, alpha 0.678, combined = 2.447e-13 rroots = 0
  17. Fri Oct  2 12:47:45 2015  
  18. Fri Oct  2 12:47:45 2015  commencing relation filtering
  19. Fri Oct  2 12:47:45 2015  setting target matrix density to 110.0
  20. Fri Oct  2 12:47:45 2015  estimated available RAM is 16029.9 MB
  21. Fri Oct  2 12:47:45 2015  commencing duplicate removal, pass 1
  22. Fri Oct  2 12:52:13 2015  error -9 reading relation 38632135
  23. Fri Oct  2 12:53:44 2015  error -5 reading relation 51787730
  24. Fri Oct  2 12:53:54 2015  error -9 reading relation 53196854
  25. Fri Oct  2 12:53:57 2015  error -5 reading relation 53696323
  26. Fri Oct  2 12:54:10 2015  error -9 reading relation 55527425
  27. Fri Oct  2 12:54:59 2015  error -9 reading relation 62680248
  28. Fri Oct  2 12:55:00 2015  error -9 reading relation 62899435
  29. Fri Oct  2 12:55:00 2015  error -15 reading relation 62901856
  30. Fri Oct  2 12:56:03 2015  error -15 reading relation 71907384
  31. Fri Oct  2 12:56:50 2015  error -9 reading relation 78712739
  32. Fri Oct  2 12:58:22 2015  error -15 reading relation 92105411
  33. Fri Oct  2 12:58:41 2015  error -15 reading relation 94873783
  34. Fri Oct  2 12:58:46 2015  error -1 reading relation 95580682
  35. Fri Oct  2 12:58:53 2015  error -1 reading relation 96368554
  36. [ ... deleted hunfreds of mostly -1 errors. ... ]
  37. Fri Oct  2 13:13:02 2015  error -1 reading relation 218472838
  38. Fri Oct  2 13:13:29 2015  skipped 135 relations with b > 2^32
  39. Fri Oct  2 13:13:29 2015  skipped 41 relations with composite factors
  40. Fri Oct  2 13:13:29 2015  found 46409851 hash collisions in 220912519 relations
  41. Fri Oct  2 13:13:39 2015  commencing duplicate removal, pass 2
  42. Fri Oct  2 13:17:49 2015  found 47691627 duplicates and 173220892 unique relations
  43. Fri Oct  2 13:17:49 2015  memory use: 1321.5 MB
  44. Fri Oct  2 13:17:49 2015  reading ideals above 186056704
  45. Fri Oct  2 13:17:49 2015  commencing singleton removal, initial pass
  46. Fri Oct  2 13:33:43 2015  memory use: 3012.0 MB
  47. Fri Oct  2 13:33:43 2015  reading all ideals from disk
  48. Fri Oct  2 13:34:05 2015  memory use: 2830.0 MB
  49. Fri Oct  2 13:34:10 2015  commencing in-memory singleton removal
  50. Fri Oct  2 13:34:15 2015  begin with 173220892 relations and 149921272 unique ideals
  51. Fri Oct  2 13:35:03 2015  reduce to 98353585 relations and 65932075 ideals in 14 passes
  52. Fri Oct  2 13:35:03 2015  max relations containing the same ideal: 31
  53. Fri Oct  2 13:35:06 2015  reading ideals above 720000
  54. Fri Oct  2 13:35:07 2015  commencing singleton removal, initial pass
  55. Fri Oct  2 13:48:02 2015  memory use: 2756.0 MB
  56. Fri Oct  2 13:48:02 2015  reading all ideals from disk
  57. Fri Oct  2 13:48:37 2015  memory use: 3883.2 MB
  58. Fri Oct  2 13:48:47 2015  keeping 86116321 ideals with weight <= 200, target excess is 503860
  59. Fri Oct  2 13:48:56 2015  commencing in-memory singleton removal
  60. Fri Oct  2 13:49:04 2015  begin with 98353585 relations and 86116321 unique ideals
  61. Fri Oct  2 13:50:25 2015  reduce to 98280877 relations and 86043533 ideals in 11 passes
  62. Fri Oct  2 13:50:25 2015  max relations containing the same ideal: 200
  63. Fri Oct  2 13:51:07 2015  removing 12105743 relations and 10105743 ideals in 2000000 cliques
  64. Fri Oct  2 13:51:10 2015  commencing in-memory singleton removal
  65. Fri Oct  2 13:51:17 2015  begin with 86175134 relations and 86043533 unique ideals
  66. Fri Oct  2 13:52:21 2015  reduce to 85082848 relations and 74817642 ideals in 10 passes
  67. Fri Oct  2 13:52:21 2015  max relations containing the same ideal: 192
  68. Fri Oct  2 13:52:57 2015  removing 9157952 relations and 7157952 ideals in 2000000 cliques
  69. Fri Oct  2 13:52:59 2015  commencing in-memory singleton removal
  70. Fri Oct  2 13:53:05 2015  begin with 75924896 relations and 74817642 unique ideals
  71. Fri Oct  2 13:53:46 2015  reduce to 75188149 relations and 66905673 ideals in 8 passes
  72. Fri Oct  2 13:53:46 2015  max relations containing the same ideal: 178
  73. Fri Oct  2 13:54:16 2015  removing 8261647 relations and 6261647 ideals in 2000000 cliques
  74. Fri Oct  2 13:54:18 2015  commencing in-memory singleton removal
  75. Fri Oct  2 13:54:22 2015  begin with 66926502 relations and 66905673 unique ideals
  76. Fri Oct  2 13:54:58 2015  reduce to 66257739 relations and 59958924 ideals in 8 passes
  77. Fri Oct  2 13:54:58 2015  max relations containing the same ideal: 163
  78. Fri Oct  2 13:55:25 2015  removing 7799949 relations and 5799949 ideals in 2000000 cliques
  79. Fri Oct  2 13:55:27 2015  commencing in-memory singleton removal
  80. Fri Oct  2 13:55:31 2015  begin with 58457790 relations and 59958924 unique ideals
  81. Fri Oct  2 13:56:05 2015  reduce to 57796886 relations and 53479986 ideals in 9 passes
  82. Fri Oct  2 13:56:05 2015  max relations containing the same ideal: 149
  83. Fri Oct  2 13:56:28 2015  removing 7517993 relations and 5517993 ideals in 2000000 cliques
  84. Fri Oct  2 13:56:30 2015  commencing in-memory singleton removal
  85. Fri Oct  2 13:56:33 2015  begin with 50278893 relations and 53479986 unique ideals
  86. Fri Oct  2 13:57:06 2015  reduce to 49586481 relations and 47248696 ideals in 10 passes
  87. Fri Oct  2 13:57:06 2015  max relations containing the same ideal: 135
  88. Fri Oct  2 13:57:26 2015  removing 6602812 relations and 4849505 ideals in 1753307 cliques
  89. Fri Oct  2 13:57:27 2015  commencing in-memory singleton removal
  90. Fri Oct  2 13:57:30 2015  begin with 42983669 relations and 47248696 unique ideals
  91. Fri Oct  2 13:57:52 2015  reduce to 42363733 relations and 41760412 ideals in 8 passes
  92. Fri Oct  2 13:57:52 2015  max relations containing the same ideal: 125
  93. Fri Oct  2 13:58:09 2015  removing 149142 relations and 130299 ideals in 18843 cliques
  94. Fri Oct  2 13:58:10 2015  commencing in-memory singleton removal
  95. Fri Oct  2 13:58:13 2015  begin with 42214591 relations and 41760412 unique ideals
  96. Fri Oct  2 13:58:26 2015  reduce to 42214290 relations and 41629812 ideals in 5 passes
  97. Fri Oct  2 13:58:26 2015  max relations containing the same ideal: 124
  98. Fri Oct  2 13:58:33 2015  relations with 0 large ideals: 19120
  99. Fri Oct  2 13:58:33 2015  relations with 1 large ideals: 4461
  100. Fri Oct  2 13:58:33 2015  relations with 2 large ideals: 60800
  101. Fri Oct  2 13:58:33 2015  relations with 3 large ideals: 493453
  102. Fri Oct  2 13:58:33 2015  relations with 4 large ideals: 2220450
  103. Fri Oct  2 13:58:33 2015  relations with 5 large ideals: 5999676
  104. Fri Oct  2 13:58:33 2015  relations with 6 large ideals: 10194484
  105. Fri Oct  2 13:58:33 2015  relations with 7+ large ideals: 23221846
  106. Fri Oct  2 13:58:33 2015  commencing 2-way merge
  107. Fri Oct  2 13:58:54 2015  reduce to 27524391 relation sets and 26939913 unique ideals
  108. Fri Oct  2 13:58:54 2015  commencing full merge
  109. Fri Oct  2 14:07:13 2015  memory use: 3536.0 MB
  110. Fri Oct  2 14:07:15 2015  found 12704097 cycles, need 12686113
  111. Fri Oct  2 14:07:18 2015  weight of 12686113 cycles is about 1395615564 (110.01/cycle)
  112. Fri Oct  2 14:07:18 2015  distribution of cycle lengths:
  113. Fri Oct  2 14:07:18 2015  1 relations: 669935
  114. Fri Oct  2 14:07:18 2015  2 relations: 896455
  115. Fri Oct  2 14:07:18 2015  3 relations: 1021446
  116. Fri Oct  2 14:07:18 2015  4 relations: 1030751
  117. Fri Oct  2 14:07:18 2015  5 relations: 1020832
  118. Fri Oct  2 14:07:18 2015  6 relations: 987077
  119. Fri Oct  2 14:07:18 2015  7 relations: 932501
  120. Fri Oct  2 14:07:18 2015  8 relations: 871211
  121. Fri Oct  2 14:07:18 2015  9 relations: 800270
  122. Fri Oct  2 14:07:18 2015  10+ relations: 4455635
  123. Fri Oct  2 14:07:18 2015  heaviest cycle: 28 relations
  124. Fri Oct  2 14:07:21 2015  commencing cycle optimization
  125. Fri Oct  2 14:07:39 2015  start with 104594942 relations
  126. Fri Oct  2 14:10:37 2015  pruned 4285905 relations
  127. Fri Oct  2 14:10:37 2015  memory use: 2837.1 MB
  128. Fri Oct  2 14:10:37 2015  distribution of cycle lengths:
  129. Fri Oct  2 14:10:37 2015  1 relations: 669935
  130. Fri Oct  2 14:10:37 2015  2 relations: 918145
  131. Fri Oct  2 14:10:37 2015  3 relations: 1064315
  132. Fri Oct  2 14:10:37 2015  4 relations: 1070573
  133. Fri Oct  2 14:10:37 2015  5 relations: 1067711
  134. Fri Oct  2 14:10:37 2015  6 relations: 1026816
  135. Fri Oct  2 14:10:37 2015  7 relations: 972918
  136. Fri Oct  2 14:10:37 2015  8 relations: 902491
  137. Fri Oct  2 14:10:37 2015  9 relations: 824612
  138. Fri Oct  2 14:10:37 2015  10+ relations: 4168597
  139. Fri Oct  2 14:10:37 2015  heaviest cycle: 28 relations
  140. Fri Oct  2 14:10:55 2015  RelProcTime: 4990
  141. Fri Oct  2 14:10:55 2015  
  142. Fri Oct  2 14:10:55 2015  commencing linear algebra
  143. Fri Oct  2 14:11:00 2015  read 12686113 cycles
  144. Fri Oct  2 14:11:22 2015  cycles contain 41852746 unique relations
  145. Fri Oct  2 14:15:55 2015  read 41852746 relations
  146. Fri Oct  2 14:16:53 2015  using 20 quadratic characters above 2147482362
  147. Fri Oct  2 14:19:19 2015  building initial matrix
  148. Fri Oct  2 14:27:02 2015  memory use: 5377.5 MB
  149. Fri Oct  2 14:27:06 2015  read 12686113 cycles
  150. Fri Oct  2 14:27:08 2015  matrix is 12685936 x 12686113 (5574.9 MB) with weight 1590193219 (125.35/col)
  151. Fri Oct  2 14:27:08 2015  sparse part has weight 1321872562 (104.20/col)
  152. Fri Oct  2 14:29:16 2015  filtering completed in 2 passes
  153. Fri Oct  2 14:29:18 2015  matrix is 12685742 x 12685919 (5574.9 MB) with weight 1590187466 (125.35/col)
  154. Fri Oct  2 14:29:18 2015  sparse part has weight 1321870929 (104.20/col)
  155. Fri Oct  2 14:30:28 2015  matrix starts at (0, 0)
  156. Fri Oct  2 14:30:29 2015  matrix is 12685742 x 12685919 (5574.9 MB) with weight 1590187466 (125.35/col)
  157. Fri Oct  2 14:30:29 2015  sparse part has weight 1321870929 (104.20/col)
  158. Fri Oct  2 14:30:29 2015  saving the first 48 matrix rows for later
  159. Fri Oct  2 14:30:31 2015  matrix includes 64 packed rows
  160. Fri Oct  2 14:30:32 2015  matrix is 12685694 x 12685919 (5326.5 MB) with weight 1359272627 (107.15/col)
  161. Fri Oct  2 14:30:32 2015  sparse part has weight 1269439949 (100.07/col)
  162. Fri Oct  2 14:30:33 2015  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  163. Fri Oct  2 14:31:20 2015  commencing Lanczos iteration (4 threads)
  164. Fri Oct  2 14:31:20 2015  memory use: 4535.8 MB
  165. Fri Oct  2 14:32:15 2015  linear algebra at 0.0%, ETA 122h51m
  166. Fri Oct  2 14:32:32 2015  checkpointing every 110000 dimensions
  167. Wed Oct  7 15:45:25 2015  lanczos halted after 200615 iterations (dim = 12685693)
  168. Wed Oct  7 15:45:36 2015  recovered 42 nontrivial dependencies
  169. Wed Oct  7 15:45:36 2015  BLanczosTime: 437681
  170. Wed Oct  7 15:45:36 2015  
  171. Wed Oct  7 15:45:36 2015  commencing square root phase
  172. Wed Oct  7 15:45:36 2015  handling dependencies 1 to 64
  173. Wed Oct  7 15:45:36 2015  reading relations for dependency 1
  174. Wed Oct  7 15:45:37 2015  read 6344921 cycles
  175. Wed Oct  7 15:45:48 2015  cycles contain 20933042 unique relations
  176. Wed Oct  7 15:49:50 2015  read 20933042 relations
  177. Wed Oct  7 15:51:09 2015  multiplying 20933042 relations
  178. Wed Oct  7 16:06:25 2015  multiply complete, coefficients have about 664.86 million bits
  179. Wed Oct  7 16:06:27 2015  initial square root is modulo 922291
  180. Wed Oct  7 16:22:08 2015  found factor: 279991747185308477400257495364382940365712671464319191449421480973623481168648828286836277142148745678329
  181. Wed Oct  7 16:22:08 2015  reading relations for dependency 2
  182. Wed Oct  7 16:22:09 2015  read 6344735 cycles
  183. Wed Oct  7 16:22:20 2015  cycles contain 20932098 unique relations
  184. Wed Oct  7 16:26:18 2015  read 20932098 relations
  185. Wed Oct  7 16:27:37 2015  multiplying 20932098 relations
  186. Wed Oct  7 16:42:53 2015  multiply complete, coefficients have about 664.82 million bits
  187. Wed Oct  7 16:42:55 2015  initial square root is modulo 921643
  188. Wed Oct  7 16:58:36 2015  GCD is 1, no factor found
  189. Wed Oct  7 16:58:36 2015  reading relations for dependency 3
  190. Wed Oct  7 16:58:37 2015  read 6341993 cycles
  191. Wed Oct  7 16:58:47 2015  cycles contain 20922234 unique relations
  192. Wed Oct  7 17:02:42 2015  read 20922234 relations
  193. Wed Oct  7 17:04:02 2015  multiplying 20922234 relations
  194. Wed Oct  7 17:19:15 2015  multiply complete, coefficients have about 664.50 million bits
  195. Wed Oct  7 17:19:17 2015  initial square root is modulo 915379
  196. Wed Oct  7 17:35:06 2015  GCD is N, no factor found
  197. Wed Oct  7 17:35:06 2015  reading relations for dependency 4
  198. Wed Oct  7 17:35:07 2015  read 6342011 cycles
  199. Wed Oct  7 17:35:17 2015  cycles contain 20922510 unique relations
  200. Wed Oct  7 17:39:10 2015  read 20922510 relations
  201. Wed Oct  7 17:40:30 2015  multiplying 20922510 relations
  202. Wed Oct  7 17:55:43 2015  multiply complete, coefficients have about 664.52 million bits
  203. Wed Oct  7 17:55:45 2015  initial square root is modulo 915763
  204. Wed Oct  7 18:11:32 2015  sqrtTime: 8756
  205. Wed Oct  7 18:11:32 2015  prp56 factor: 56162309779635314138709768656568188547765967383513002873
  206. Wed Oct  7 18:11:32 2015  prp71 factor: 25324038203136083517604801386195489639013056870525731729815509973203593
  207. Wed Oct  7 18:11:32 2015  prp105 factor: 279991747185308477400257495364382940365712671464319191449421480973623481168648828286836277142148745678329
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